document.write( "Question 315233: Use Cramer's Rule, if applicable, to solve the system.\r
\n" ); document.write( "\n" ); document.write( "3x - 4y - 12 = 0
\n" ); document.write( "5x + 2y + 6 = 0
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Algebra.Com's Answer #225561 by Fombitz(32388)\"\" \"About 
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[A]=\"%28matrix%282%2C2%2C3%2C-4%2C5%2C2%29%29\"
\n" ); document.write( "[b]=\"%28matrix%282%2C1%2C12%2C-6%29%29\"
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\n" ); document.write( "Find the determinant of [A].
\n" ); document.write( "det[A]=\"3%282%29-%285%29%28-4%29=26\"
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\n" ); document.write( "Replace the first column of [A] with [b]
\n" ); document.write( "[Ax]=\"%28matrix%282%2C2%2C12%2C-4%2C-6%2C2%29%29\"
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\n" ); document.write( "Calculate this determinant.
\n" ); document.write( "det[Ax]=\"12%282%29-%28-6%29%28-4%29=0\"
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\n" ); document.write( "Calculate \"x\".
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\n" ); document.write( "x=det[Ax]/det[A]
\n" ); document.write( "\"x=0%2F26\"
\n" ); document.write( "\"highlight%28+x=0%29\"
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\n" ); document.write( "Replace the second column of [A] with [b]
\n" ); document.write( "[Ay]=\"%28matrix%282%2C2%2C3%2C12%2C5%2C-6%29%29\"
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\n" ); document.write( "Calculate this determinant.
\n" ); document.write( "det[Ax]=\"%283%29%28-6%29-5%2812%29=-78\"
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\n" ); document.write( "Calculate \"y\".
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\n" ); document.write( "y=det[Ay]/det[A]
\n" ); document.write( "\"y=-78%2F26\"
\n" ); document.write( "\"highlight%28y=-3%29\"
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